Details

sample237.0ms

Algorithm

intervals

Results

94.0ms	214×	body	10240	exit
80.0ms	105×	body	1280	valid
36.0ms	76×	body	640	valid
9.0ms	35×	body	320	valid
4.0ms	24×	body	160	valid
1.0ms	16×	body	80	valid

simplify61.0ms

Calls

1 calls:

Slowest

61.0ms

(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.5b

localize32.0ms

Local error

Found 3 expressions with local error:

6.6b	(- (exp x) (exp (- x)))
1.3b	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
0.0b	(+ (exp x) (exp (- x)))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

40×	`*-un-lft-identity`
26×	`add-sqr-sqrt`
20×	`times-frac`
14×	`add-cube-cbrt`
7×	`distribute-lft-out` `add-log-exp`
6×	`distribute-lft-out--` `difference-of-squares`
5×	`add-cbrt-cube` `add-exp-log` `associate-/l*`
4×	`associate-/r*`
3×	`pow1` `insert-posit16`
2×	`flip3-+` `flip3--` `associate-/r/` `flip-+` `flip--` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `tanh-undef` `div-inv`

Calls

3 calls:

Slowest

31.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
9.0ms	(- (exp x) (exp (- x)))
8.0ms	(+ (exp x) (exp (- x)))

series155.0ms

Calls

3 calls:

Slowest

86.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
45.0ms	(- (exp x) (exp (- x)))
24.0ms	(+ (exp x) (exp (- x)))

simplify2.6s

Calls

69 calls:

Slowest

177.0ms	(+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))
139.0ms	(/ (* (* (- (exp x) (exp (- x))) (- (exp x) (exp (- x)))) (- (exp x) (exp (- x)))) (* (* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) (+ (exp x) (exp (- x)))))
133.0ms	(- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x))))
127.0ms	(- (pow (exp x) 3) (pow (exp (- x)) 3))
105.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))

prune530.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize2.0ms

Local error

Found 1 expressions with local error:

0.0b

(tanh x)

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

1×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `tanh-def` `add-log-exp`

Calls

1 calls:

Slowest

0.0ms

(tanh x)

series95.0ms

Calls

1 calls:

Slowest

95.0ms

(tanh x)

simplify311.0ms

Calls

3 calls:

Slowest

158.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
90.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
63.0ms	(/ (- (exp x) (exp (* -1 x))) (+ (exp (* -1 x)) (exp x)))

prune79.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x x) -1/3)
0.1b	(* x (* (* x x) -1/3))
0.1b	(* (pow x 5) 2/15)
0.0b	(+ (* (pow x 5) 2/15) (* x (* (* x x) -1/3)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp`
5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `add-cbrt-cube` `associate-l` `add-exp-log` `insert-posit16`
3×	`*-commutative`
1×	`+-commutative` `sum-log` `flip3-+` `associate-r` `flip-+`

Calls

4 calls:

Slowest

6.0ms	(+ (* (pow x 5) 2/15) (* x (* (* x x) -1/3)))
4.0ms	(* x (* (* x x) -1/3))
3.0ms	(* (* x x) -1/3)
3.0ms	(* (pow x 5) 2/15)

series132.0ms

Calls

4 calls:

Slowest

72.0ms	(+ (* (pow x 5) 2/15) (* x (* (* x x) -1/3)))
32.0ms	(* (pow x 5) 2/15)
16.0ms	(* x (* (* x x) -1/3))
11.0ms	(* (* x x) -1/3)

simplify380.0ms

Calls

15 calls:

Slowest

73.0ms	(- (* 2/15 (pow x 5)) (* 1/3 (pow x 3)))
71.0ms	(- (* 2/15 (pow x 5)) (* 1/3 (pow x 3)))
66.0ms	(- (* 2/15 (pow x 5)) (* 1/3 (pow x 3)))
64.0ms	(* (exp (* (pow x 5) 2/15)) (exp (* x (* (* x x) -1/3))))
16.0ms	(* -1/3 (pow x 3))

prune508.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize5.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (sqrt (tanh x)) (sqrt (tanh x)))
0.0b	(tanh x)
0.0b	(tanh x)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

24×	`sqrt-div`
10×	`tanh-def`
9×	`frac-times`
8×	`pow1`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`associate-r` `associate-l` `sqrt-prod`
5×	`add-cbrt-cube` `add-exp-log`
4×	`pow1/2`
3×	`associate-l/` `associate-r/` `insert-posit16` `add-log-exp`
2×	`pow-prod-down` `pow-prod-up`
1×	`pow2` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod`

Calls

3 calls:

Slowest

7.0ms	(* (sqrt (tanh x)) (sqrt (tanh x)))
0.0ms	(tanh x)
0.0ms	(tanh x)

series279.0ms

Calls

3 calls:

Slowest

106.0ms	(* (sqrt (tanh x)) (sqrt (tanh x)))
99.0ms	(tanh x)
74.0ms	(tanh x)

simplify3.7s

Calls

54 calls:

Slowest

463.0ms	(* (* (* (sqrt (tanh x)) (sqrt (tanh x))) (sqrt (tanh x))) (* (* (sqrt (tanh x)) (sqrt (tanh x))) (sqrt (tanh x))))
176.0ms	(* (sqrt (- (exp (* 2 x)) 1)) (sqrt (tanh x)))
165.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
163.0ms	(* (sqrt (- (exp x) (exp (- x)))) (sqrt (tanh x)))
157.0ms	(* (sqrt (- 1 (exp (* -2 x)))) (sqrt (tanh x)))

prune587.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes43.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch1.0ms

end0.0ms

sample10.6s

Algorithm

intervals

Results

5.5s	7504×	body	10240	exit
2.3s	3322×	body	1280	valid
1.6s	2398×	body	640	valid
515.0ms	632×	body	160	valid
430.0ms	1217×	body	320	valid
36.0ms	431×	body	80	valid